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Find the equation of the linear function represented by the table below in slope-intercept form

Table to Linear Equation
x y
1 0
2 2
3 4
4 6

User Sebastianb
by
8.2k points

1 Answer

3 votes

Answer:


\huge\boxed{y=2x-2}

Explanation:

The slope-intercept form of an equation of a line:


y=mx+b

m - slope

b - y-intercept → (0, b)

The formula of a slope:


m=(y_2-y_1)/(x_2-x_1)

(x₁; y₁); (x₂; y₂) - points on a line

From the table we have


(1,\ 0)\to x_1=1;\ y_1=0\\\\(2,\ 2)\to\ x_2=2;\ y_2=2

Substitute:


m=(2-0)/(2-1)=(2)/(1)=2

Put the value of a slope and coordinates of the point (1, 0) to the equation of a line:


0=2(1)+b


0=2+b subtract 2 from both sides


-2=b\to b=-2

Finally we have:


y=2x-2

User Marte
by
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